2101200 has 120 divisors (see below), whose sum is σ = 7195968. Its totient is φ = 522240.

The previous prime is 2101199. The next prime is 2101207. The reversal of 2101200 is 21012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20349 + ... + 20451.

2^2101200 is an apocalyptic number.

2101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597984).

2101200 is an abundant number, since it is smaller than the sum of its proper divisors (5094768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101200 is a wasteful number, since it uses less digits than its factorization.

2101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2101200 is about 1449.5516548230. The cubic root of 2101200 is about 128.0823038382.

Adding to 2101200 its reverse (21012), we get a palindrome (2122212).

Multiplying 2101200 by its reverse (21012), we get a square (44150414400 = 210120²).

2101200 divided by its reverse (21012) gives a square (100 = 10²).

The spelling of 2101200 in words is "two million, one hundred one thousand, two hundred".